| 1 |
M Bestvina, M
Handel, Train-tracks
for surface homeomorphisms, Topology 34 (1995)
109–140 MR1308491 |
| 2 |
J S Birman,
M E Kidwell, Fixed points
of pseudo-Anosov diffeomorphisms of surfaces, Adv. in
Math. 46 (1982) 217–220 MR679909 |
| 3 |
F Bourgeois, Y
Eliashberg, H Hofer, K Wysocki, E
Zehnder, Compactness results
in symplectic field theory, Geom. Topol. 7 (2003)
799–888 MR2026549 |
| 4 |
A J Casson,
S A Bleiler, Automorphisms of surfaces after
Nielsen and Thurston, London Math. Soc. Student Texts 9,
Cambridge Univ. Press (1988) MR964685 |
| 5 |
K Cieliebak, K
Mohnke, Compactness
for punctured holomorphic curves, J. Symplectic Geom. 3
(2005) 589–654 MR2235856 |
| 6 |
V Colin, K
Honda, Reeb vector fields and open book
decompositions arXiv:0809.5088 |
| 7 |
A Cotton-Clay, A
sharp bound on fixed points of area-preserving surface
diffeomorphisms, in preparation |
| 8 |
S Dostoglou,
D A Salamon, Self-dual instantons and
holomorphic curves, Ann. of Math. (2) 139 (1994)
581–640 MR1283871 |
| 9 |
E Eftekhary,
Floer
homology of certain pseudo-Anosov maps, J. Symplectic
Geom. 2 (2004) 357–375 MR2131640 |
| 10 |
Y Eliashberg, A
Givental, H Hofer, Introduction to symplectic
field theory, GAFA 2000 (Tel Aviv, 1999), Geom. Funct.
Anal. (2000) 560–673 MR1826267 |
| 11 |
O Fabert, Contact
homology of Hamiltonian mapping tori arXiv:math/0609406v3 |
| 12 |
, Travaux de Thurston sur
les surfaces (editors A Fathi, F Laudenbach, V Poenaru),
Astérisque 66, Soc. Math. France (1991) 286 MR568308
Séminaire Orsay, With an English summary |
| 13 |
A L
Fel″shtyn, Floer homology, Nielsen theory, and
symplectic zeta functions, Tr. Mat. Inst. Steklova 246
(2004) 283–296 MR2101299 |
| 14 |
A Floer, Morse
theory for Lagrangian intersections, J. Differential
Geom. 28 (1988) 513–547 MR965228 |
| 15 |
A Floer, Symplectic
fixed points and holomorphic spheres, Comm. Math. Phys.
120 (1989) 575–611 MR987770 |
| 16 |
A Floer, H
Hofer, D Salamon, Transversality
in elliptic Morse theory for the symplectic action,
Duke Math. J. 80 (1995) 251–292 MR1360618 |
| 17 |
R Gautschi,
Floer homology of algebraically finite mapping classes,
J. Symplectic Geom. 1 (2003) 715–765 MR2039162 |
| 18 |
M Hutchings,
An index
inequality for embedded pseudoholomorphic curves in
symplectizations, J. Eur. Math. Soc. (JEMS) 4 (2002)
313–361 MR1941088 |
| 19 |
M Hutchings,
Reidemeister torsion
in generalized Morse theory, Forum Math. 14 (2002)
209–244 MR1880912 |
| 20 |
M Hutchings,
Floer
homology of families. I, Algebr. Geom. Topol. 8 (2008)
435–492 MR2443235 |
| 21 |
M Hutchings, M
Sullivan, The periodic Floer
homology of a Dehn twist, Algebr. Geom. Topol. 5 (2005)
301–354 MR2135555 |
| 22 |
M Hutchings, M
Sullivan, Rounding corners of
polygons and the embedded contact homology of
T3, Geom. Topol. 10 (2006) 169–266
MR2207793 |
| 23 |
S Jabuka, T
Mark, Heegaard Floer
homology of certain mapping tori, Algebr. Geom. Topol.
4 (2004) 685–719 MR2100677 |
| 24 |
B J Jiang,
J H Guo, Fixed
points of surface diffeomorphisms, Pacific J. Math. 160
(1993) 67–89 MR1227504 |
| 25 |
P Kronheimer, T
Mrowka, Monopoles and three-manifolds, New Math.
Monogr. 10, Cambridge Univ. Press (2007) MR2388043 |
| 26 |
E Lebow, Embedded
contact homology of 2–torus bundles over the circle,
PhD thesis, University of California, Berkeley (2007) |
| 27 |
Y J Lee,
Heegaard splittings and Seiberg–Witten monopoles,
from: "Geometry and topology of manifolds" (editors U Boden
Hans, I Hambleton, A J Nicas, B D Park), Fields Inst.
Commun. 47, Amer. Math. Soc. (2005) 173–202 MR2189932 |
| 28 |
Y J Lee,
Reidemeister torsion in Floer–Novikov theory and
counting pseudo-holomorphic tori. I, J. Symplectic Geom. 3
(2005) 221–311 MR2199540 |
| 29 |
Y J Lee,
Reidemeister torsion in Floer–Novikov theory and
counting pseudo-holomorphic tori. II, J. Symplectic Geom. 3
(2005) 385–480 MR2198782 |
| 30 |
Y J Lee,
C H Taubes, Periodic Floer homology and
Seiberg–Witten Floer cohomology arXiv:0906.0383 |
| 31 |
G Liu, G Tian,
On the
equivalence of multiplicative structures in Floer homology and
quantum homology, Acta Math. Sin. (Engl. Ser.) 15
(1999) 53–80 MR1701133 |
| 32 |
D McDuff, D
Salamon, Introduction to symplectic topology, Oxford
Math. Monogr., The Clarendon Press, Oxford Univ. Press (1998)
MR1698616 |
| 33 |
L Mosher, Train
track expansions of measured foliations, Preprint
(2003) |
| 34 |
P Ozsváth, Z
Szabó, Holomorphic
disks and topological invariants for closed
three-manifolds, Ann. of Math. (2) 159 (2004)
1027–1158 MR2113019 |
| 35 |
R C Penner,
A construction
of pseudo-Anosov homeomorphisms, Trans. Amer. Math.
Soc. 310 (1988) 179–197 MR930079 |
| 36 |
R C Penner,
J L Harer, Combinatorics of train tracks,
Annals of Math. Studies 125, Princeton Univ. Press (1992)
MR1144770 |
| 37 |
T Perutz, A
hypercube for fixed-point Floer homology (2008) |
| 38 |
T Perutz, Lagrangian matching
invariants for fibred four-manifolds. II, Geom. Topol.
12 (2008) 1461–1542 MR2421133 |
| 39 |
M Pozniak, Floer
homology, Novikov rings and clean intersections, PhD
thesis, University of Warwick (1994) |
| 40 |
J Robbin, D
Salamon, The spectral flow and
the Maslov index, Bull. London Math. Soc. 27 (1995)
1–33 MR1331677 |
| 41 |
D Salamon, E
Zehnder, Morse theory for
periodic solutions of Hamiltonian systems and the Maslov
index, Comm. Pure Appl. Math. 45 (1992) 1303–1360
MR1181727 |
| 42 |
M Schwarz,
Cohomology operations from S¹–cobordisms in Floer
homology, PhD thesis, ETH Zürich (1995) |
| 43 |
P Seidel, The
symplectic Floer homology of a Dehn twist, Math. Res. Lett.
3 (1996) 829–834 MR1426539 |
| 44 |
P Seidel, More
about vanishing cycles and mutation, from: "Symplectic
geometry and mirror symmetry (Seoul, 2000)" (editors K Fukaya,
Y G Oh, K Ono, G Tian), World Sci. Publ. (2001)
429–465 MR1882336 |
| 45 |
P Seidel,
Symplectic Floer homology and the mapping class group,
Pacific J. Math. 206 (2002) 219–229 MR1924827 |
| 46 |
C H Taubes,
Seiberg Witten and Gromov invariants for symplectic
4–manifolds, (R Wentworth, editor), First Intl.
Press Lecture Ser. 2, Intl. Press (2000) MR1798809 |
| 47 |
C H Taubes,
The
Seiberg–Witten equations and the Weinstein
conjecture, Geom. Topol. 11 (2007) 2117–2202
MR2350473 |
| 48 |
C H Taubes,
Embedded contact homology and Seiberg–Witten Floer
cohomology I–IV, Preprint (2008) |
| 49 |
W P Thurston,
On the
geometry and dynamics of diffeomorphisms of surfaces,
Bull. Amer. Math. Soc. (N.S.) 19 (1988) 417–431 MR956596 |
| 50 |
M Usher, Vortices and a TQFT
for Lefschetz fibrations on 4–manifolds, Algebr.
Geom. Topol. 6 (2006) 1677–1743 MR2263047 |
| 51 |
M L Yau, A
holomorphic 0–surgery model for open books, Int.
Math. Res. Not. (2007) MR2346631 |
